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Current time:0:00Total duration:1:46

Video transcript

so we're told that Mount Everest is 29,029 feet tall estimate Mount Everest height by rewriting it as a number in the form x times 10 to the yth power feet where x and y are single-digit numbers so let's think about how we would do this so x and y have to be single-digit numbers so this is if we were to write it in scientific notation we could write something like let's say it would be two point nine zero to nine is that right two point nine zero to nine times ten and actually be careful times I should write like that times 10 I'll use this little caret sign I'm pressing shift + 6 to get the caret sign times 10 to the and I moved the decimal let's see in order to go from two to in order to go from two to 20,000 I have to add one two three four zero so times 10 to the fourth so that's what I would do if they were just asking us to write it in scientific notation but they're not asking us to write in scientific notation they're saying estimate Everest height by writing it in this form where x and y are single-digit numbers so as I wrote it right over here two point nine zero to nine is not a single-digit number four is a single digit number so at least I got the Y part right but I need to write this part which you know in this form this would be the X I need write that as a single digit number and the key is that they want me to estimate so if I were to estimate two point nine zero to nine I would write that as 3 so I'm going to go with three times 10 to the fourth and if I were to expand out 3 times 10 to the fourth it would be 30,000 feet so my estimate seems pretty good so let's check there we go